The Soviet Airborne Troops formed a number of Airborne Corps before and during the Great Patriotic War/Second World War.
Each airborne corps was to have 8020 soldiers in total, armed with:
There were five airborne corps in total.
Source soldat.ru forums.
From March to July 1942 5th Airborne Corps was in the Reserve of the Supreme High Command (Stavka reserve), training personnel, but at the beginning of August, due to the sharp deterioration of the situation in the southern sector of the Soviet-German front, the corps was immediately reformed as the 39th Guards Rifle Division (and joined the Stalingrad Front).
In the second half of 1942 under the Moscow the 5th Airborne Corps was formed again, but it did not see action, because in December 1942 it became the 7th Guards Airborne Division.
On September 4, 1941 the formation of five new airborne corps was ordered, numbered 6 to 10. Also, the establishment strength of the corps was increased to 10328 soldiers.
In Summer 1942 the Stavka converted all ten airborne corps into guards rifle divisions to bolster Soviet forces in the south. Among them was the 6th Airborne Corps, which became the 40th Guards Rifle Division.
Yet:
'..[T]he Stavka still foresaw the necessity of conducting actual airborne operations later during the war. To have [such a force] the Stavka created eight new airborne corps (1st, 4th, 5th, 6th, 7th, 8th, 9th, and 10th) in the fall of 1942. Beginning in December 1942, these corps became ten guards airborne divisions (two formed from the 1st Airborne Corps and the three existing separate maneuver airborne brigades).'
These divisions were numbered 1st, 2nd, 3rd, 4th, 5th, formed from 9th Airborne Corps (2nd formation), 6th, 7th, 8th, 9th, and 10th Guards Airborne Division.